Fault Detection for Linear Periodic Systems Using a Geometric Approach

• Published in: IEEE transactions on automatic control Vol. 54; no. 7; pp. 1637 - 1643
• Main Authors: Longhi, S., Monteriu, A.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.07.2009; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Applied sciences; Asymptotic properties; Automatic control; Communication switching; Communication system control; Computer science; control theory; systems; Control systems; Control theory. Systems; Disturbances; Exact sciences and technology; Fault detection; Faults; Gain; Generators; linear discrete-time systems; Linear systems; Modelling and identification; Observers; periodic systems; residual generation; Stability; Subspaces; Sun; Switched systems; Upper bound; Unknown input; linear discrete-time systems; Geometrical model; periodic systems; Fault detection; Observer; Discrete time; residual generation; Asymptotic approximation; System identification; Fault diagnostic; Periodic system; Defect detection
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/TAC.2009.2017975

Using the geometric approach, a solution is given to the problem of detecting faults in linear periodic discrete-time systems. The solution consists on developing an unknown input observer. The existing conditions are provided in terms of new geometric notion of outer observable subspace that is the dual notion of inner reachable subspace . Making use of the new notion, a residual generator is developed, such that the residual is made independent of unknown input disturbance, and its output-free response goes asymptotically to zero.